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math.CO2023
Optimal Hamilton covers and linear arboricity for random graphs
Nemanja Draganić, Stefan Glock, David Munhá Correia +1
In his seminal 1976 paper, Pósa showed that for all , the binomial random graph is with high probability Hamiltonian. This leads to the following natural…
math.CO2023
Size-Ramsey numbers of structurally sparse graphs
Nemanja Draganić, Marc Kaufmann, David Munhá Correia +2
Size-Ramsey numbers are a central notion in combinatorics and have been widely studied since their introduction by Erdős, Faudree, Rousseau and Schelp in 1978. Research has mainly…
math.CO2023
A generalization of Bondy's pancyclicity theorem
Nemanja Draganić, David Munhá Correia, Benny Sudakov
The bipartite independence number of a graph , denoted as , is the minimal number such that there exist positive integers and with with the pro…